Механика очага землятресения. Спецкурс. Воронина Е.В. - 85 стр.

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83
S-
() ( )
2
2
22 22
00
44
Srrc rr
Ecr utdtcr ud
∞∞
ρβ
ρβ
ωω
∫∫
, (18.11)
c
r
ρ
β
S-
exp
r
Q

ω


S
()
()
()
2
0022
00
0
4
f
rq r
ErC utdt
rq r
β

ρβ


, (18.12)
00
,
ρβ
r
22
rh=∆+
() ( )
exp
n
qr Cr kr
=−,
1
0,4970, 1,03, 0,0035cnkkm
=== .
                                                                                   83

      J?=BHG:EVGU? HP?GDB
      K?CKFBQ?KDHC WG?J=BB
     EhdZevgu_ b j_]bhgZevgu_ hp_gdb baemq_gghc ba hqZ]Z wg_j]bb
lZd`_ dZd b l_e_k_ckfbq_kdb_ ^he`gu [ulv ijh\_^_gu k mq_lhf g_h^gh
jh^ghklb baemq_gby ba bklhqgbdZ g_mijm]h]h ih]ehs_gby \ kj_^_ eh
dZevguo jZaebqbc \ kljh_gbb dhju \ jZchg_ j_]bkljbjmxs_c klZgpbb
K_ckfbq_kdZy wg_j]by [ueZ hp_g_gZ ih kdhjhklb kf_s_gby \ S-\heg_
                                 ∞                            ∞        2
              ES = 4 πc r ρr βr ∫ uc (t ) dt = 4 πc r ρr βr ∫ u ( ω) d ω ,
                        2 2              2             2 2
                                                                               (18.11)
                                 0                             0

a^_kv c — dhjj_dpby gZ baf_g_gb_ Zfieblm^ ijb hljZ`_gbb hl a_fghc
ih\_joghklb
      r — dhjj_dpby gZ ]_hf_ljbq_kdh_ jZkoh`^_gb_ ijb jZkijhkljZg_
gbb
      ρ — iehlghklv \ jZchg_ bklhqgbdZ
      β — kdhjhklv jZkijhkljZg_gby S-\heg
      G_mijm]h_ aZlmoZgb_ \ kj_^_ h[uqgh hibku\Z_lky nZdlhjhf
     ωr 
exp        DZgZfhjb bkihevah\Ze ke_^mxsmx nhjfmem ^ey hij_^_e_gby
     Q  
wg_j]bb ih S \hegZf kbevguo a_fe_ljyk_gbc DZebnhjgbb
                                      r0 q ( r0 )       ∞
                                                   2
                        Eβ = 4πr C f               ρ0β0 ∫ u (t ) dt ,
                                   2                          2
                                                                               (18.12)
                                      rq ( r )          0

]^_ ρ0 , β0 — iehlghklv b kdhjhklv ihi_j_qguo \heg \ ]bihp_glj_ K —
hljZ`_gb_ hl a_fghc ih\_joghklb r — ]bihp_gljZevgh_ jZkklhygb_ ijb
[ebabl_evgh jZ\gh_ wibp_gljZevghfm ijb ]em[bg_ bklhqgbdZ g_ [he__ 
df < h[s_f kemqZ_ r = ∆ 2 + h 2  NZdlhj aZlmoZgby q ( r ) = Cr −n exp ( −kr ) ,
^ey a_fe_ljyk_gbc x`ghc DZebnhjgbb hij_^_ey_lky k iZjZf_ljZfb
c = 0, 4970, n = 1,03, k = 0,0035km−1 .


      U
     Wg_j]by hij_^_ey_fZy ih wg_j]_lbq_kdbf b fhf_glguf fZ]gblm
^Zf — jZaebqgu